Lyapunov-type inequalities for nonlinear systems

By Aydin Tiryaki, Mehmet Ünal, Devrim Çakmak. 2007

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In this paper, by using elementary analysis, we establish some new Lyapunov-type inequalities for nonlinear systems of differential equations, special cases of which contain the well-known equations such as Emden–Fowler-type and half-linear equations. The inequalities obtained here can be used as handy tools in the study of qualitative behaviour of solutions of the associated equations.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/648b9b141f6dd4b0437e554c97b22f48359578c5